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Finding the Fourth Proportional to 260,770.95, 359,834.13 and 146,033.64

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Solution

The fourth proportional to 260,770.95, 359,834.13 and 146,033.64 is: 201,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,770.95 : 359,834.13 = 146,033.64 : x
  2. Step 2: Convert to fraction form
    260,770.95/359,834.13 = 146,033.64/x
  3. Step 3: Cross multiply
    260,770.95x = 359,834.13 × 146,033.64
  4. Step 4: Simplify right side
    260,770.95x = 52,547,887,800.13
  5. Step 5: Solve for x
    x = 52,547,887,800.13/260,770.95
  6. Step 6: Final answer
    x = 201,509.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.